If 4x^2 - 100 = 0, what are the roots of the equation?

Answers

Answer 1

Answer: the roots to this equation i s either positive or negative five

Answer 2

Answer: Positive or negative 5

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Flyball is a relay race for dogs. In each of the four legs of the relay, a dog jumps over hurdles, retrieves a ball from a fly box, and runs back over the hurdles. The distance of the relay race is 51 feet. The collie starts the course 0.3 second before the sheepdog. The collie is running 23.4 feet per second while the sheepdog is running 24 feet per second. a. Let t represent the time (in seconds) it takes the collie to un the last leg . Write and solve an equation to find the number of seconds after which the sheepdog would catch up with the collie.

Answers

It would take 11.7 seconds for the sheepdog to catch up with the collie.

To determine the number of seconds after which the sheepdog would catch up with the collie, knowing that the distance of the relay race is 51 feet, and the collie starts the course 0.3 second before the sheepdog, and the collie is running 23.4 feet per second, while the sheepdog is running 24 feet per second, the following calculation must be performed:

(23.4 x 0.3) = 7.02
24 - 23.4 = 0.6
7.02 + 23.4X = Y
24X = Y
7.02 / 0.6 = 11.7
7.02 + 23.4 x 11.7 = 280.8
24 x 11.7 = 280.8

Therefore, it would take 11.7 seconds for the sheepdog to catch up with the collie.

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(3x - 40)° (2x + 23)°

Answers

Answer:

Step-by-step explanation:

The expression (3x - 40)° (2x + 23)° represents the product of two angles, (3x - 40)° and (2x + 23)

(3x - 40)° (2x + 23)° = (3x - 40)(2x + 23)°

3x - 40)(2x + 23)° = 3x(2x + 23) - 40(2x + 23)°

3x(2x + 23) - 40(2x + 23)° = 6x² + 69x - 80x - 920

6x² + 69x - 80x - 920 = 6x² - 11x - 920

simplified expression of (3x - 40)° (2x + 23)° is 6x² - 11x - 920.

Find the difference using fraction bars or a paper and pencil. Write your answer in simplest form.11/12 - 3/4

Answers

First, find the lowest common denominator. That is 12. You only have to change 3/4 into 12ths.

3/4 = 9/12

11/12 – 9/12 = 2/12 = 1/6

We must find a common denominator, first

11/12 - 9/12

2/12

Simplified, it becomes 1/6

NEED HELP ASAP PLS!!!!!

Answers

Step-by-step explanation:

1. Octagon- 8 sides

2. Quadrilateral- 4 sides

3. Decagon- 10 sides

4. Nonagon- 9 sides

5. Octagon- 8 sides

6. Nonagon- 9 sides

Hope this helps

Which of the following statements have the same result? Explain each step in solving each one.f(1) when f(x) = 5x + 1
f−1(3) when f(x) = 2x plus 3, all over 5
3y − 7 = y + 5

Answers

$f(x) = 5x + 1\n\nsubtitute\ x = 1\ to\ the\ equation\n\nf(1) = 5\cdot1 + 1 = 5 + 1 = 6\n----------------------\nf(x)=(2x+3)/(5)\to y=(2x+3)/(5)\ \ \ \ |multiply\ both\ sides\ by\ 5\n\n5y=2x+3\ \ \ \ |subtract\ 3\ from\ both\ sides\n\n2x=5y-3\ \ \ \ \ |divide\ both\ sides\ by\ 2\n\nx=(5y-3)/(2)\n\nf^(-1)(x)=(5\cdot(-1)-3)/(2)=(-5-3)/(2)=(-8)/(2)=-4\n---------------------\n3y-7=y+5\ \ \ |add\ 7\ to\ both\ sides\n3y=y+12\ \ \ \ |subtract\ y\ from\ both\ sides\n2y=12\ \ \ \ |divide\ both\ sides\ by\ 2\ny=6$

Answer: f(1) when f(x) = 5x + 1 and 3y - 7 = y + 5

How many solutions does the system have?x = -4y + 4
2x + 8y = 8

A. one solution
B. two solutions
C. infinitely many solutions
D. no solution

Answers

If you would like to know how many solutions does the system of two equations have, you can calculate this using the following steps:

x = -4y + 4 ... x + 4y = 4 /*(2)
2x + 8y = 8
____________
2x + 8y = 8
2x + 8y = 8
____________
0 = 0

The correct result would be infinitely many solutions.

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